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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (3 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1232.4.a.l	$1232$	$4$	1232.a	1.a	$1$	$2$	$2$	$72.690$	\(\Q(\sqrt{5}) \)	None	✓				616.4.a.d	$1$	$0$	\(0\)	\(2\)	\(6\)	\(14\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+3\beta )q^{3}+(3+\beta )q^{5}+7q^{7}+(19+\cdots)q^{9}+\cdots\)
1232.4.a.z	$1232$	$4$	1232.a	1.a	$1$	$5$	$5$	$72.690$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓				616.4.a.g	$1$	$0$	\(0\)	\(-2\)	\(-14\)	\(35\)		$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-2-\beta _{1}-\beta _{2})q^{5}+7q^{7}+\cdots\)
1232.4.a.bd	$1232$	$4$	1232.a	1.a	$1$	$7$	$7$	$72.690$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓		✓		616.4.a.j	$1$	$0$	\(0\)	\(0\)	\(6\)	\(49\)		$+$	$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{2})q^{5}+7q^{7}+(15-\beta _{2}+\cdots)q^{9}+\cdots\)

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